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289901441 is a prime number
BaseRepresentation
bin10001010001111…
…000101110000001
3202012111112000102
4101101320232001
51043203321231
644433332145
710120056464
oct2121705601
9665445012
10289901441
11139707275
1281107055
13480a341b
142a7052db
151a6b6acb
hex11478b81

289901441 has 2 divisors, whose sum is σ = 289901442. Its totient is φ = 289901440.

The previous prime is 289901389. The next prime is 289901461. The reversal of 289901441 is 144109982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240901441 + 49000000 = 15521^2 + 7000^2 .

It is a cyclic number.

It is not a de Polignac number, because 289901441 - 26 = 289901377 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 289901395 and 289901404.

It is not a weakly prime, because it can be changed into another prime (289901461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144950720 + 144950721.

It is an arithmetic number, because the mean of its divisors is an integer number (144950721).

Almost surely, 2289901441 is an apocalyptic number.

It is an amenable number.

289901441 is a deficient number, since it is larger than the sum of its proper divisors (1).

289901441 is an equidigital number, since it uses as much as digits as its factorization.

289901441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 289901441 is about 17026.4923281338. The cubic root of 289901441 is about 661.8356009656.

The spelling of 289901441 in words is "two hundred eighty-nine million, nine hundred one thousand, four hundred forty-one".